- #1
destroyer130
- 18
- 0
I want to ask why a rod's rotational inertia with rotational axis at its end is not
1/2 mR2 but 1/3 mR2?
1/2 mR2 but 1/3 mR2?
Rotational inertia, also known as moment of inertia, is a measure of an object's resistance to changes in its rotational motion. It depends on both the mass and the distribution of mass around the axis of rotation.
Rotational inertia can be calculated by taking the product of the mass of the object and the square of the distance from the axis of rotation to the object. It is often represented by the symbol I and has units of kg * m^2.
The axis of rotation in a rod is an imaginary line passing through the center of the rod and perpendicular to its length. It is the point around which the rod rotates.
The distance of the axis of rotation from the mass of the rod affects its rotational inertia. The farther the axis of rotation is from the mass, the larger the rotational inertia will be. This means it will be harder to change the rotational motion of the rod.
The distribution of mass around the axis of rotation also affects the rotational inertia of a rod. If more mass is concentrated farther away from the axis of rotation, the rotational inertia will be larger. If the mass is evenly distributed, the rotational inertia will be smaller.